Receiver design and AGC optimization with self interference induced saturation

In-band Full Duplex (FD) is a wireless communication technology which has the potential to transmit and receive simultaneously in the same frequency band. Self-interference cancellation (SIC) is the key enabler to achieve FD operation. As the SI is severe, some SIC is  required at the antenna level and in the analog domain before analog to digital converter (ADC) in the receiver chain because the ADC has only a limited dynamic range. Here we consider deliberately scaling up the received signal, provoking ADC saturation due to the SI signal. This leads to missing samples which we propose to reconstruct

under the assumptions that the receive signal of interest is a low pass bandlimited signal with known spectrum (mask), oversampling and (perfect) digital SIC after the ADC. The missing samples are estimated by fixed lag Kalman smoothing. More upscaling leads to fewer available samples but with less quantization noise. Hence an optimum compromise arises.We provide an approximate resulting MSE analysis based on large random matrix theory, replacing randomly selected Fourier transform vectors by vectors of i.i.d. variables. Simulation results show the improvement in reconstruction Signal to Noise Ratio (RSNR) and the optimal compromise behavior.